| 书目名称 | Operator Inequalities of Ostrowski and Trapezoidal Type |
| 编辑 | Silvestru Sever Dragomir |
| 视频video | |
| 概述 | Presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of selfadjoint operators on complex Hilbert spaces.Explores the fundamental results for polynomi |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces. presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. .The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz’s inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators that will play a central role throughout the book. The following chapter is devoted to the Ostrowski’s type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean and can be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directions for continuous functions of selfadjoint operators in |
| 出版日期 | Book 2012 |
| 关键词 | Hilbert Spaces; Linear Operator Theory; Mathematical Inequalities; Ostrowski andTrapezoidal Functions; S |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-1779-8 |
| isbn_softcover | 978-1-4614-1778-1 |
| isbn_ebook | 978-1-4614-1779-8Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Silvestru Sever Dragomir 2012 |
发表于 2025-3-21 19:56:21
